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Finding the Third Proportional to 232,977.94 and 475,750.13

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Solution

The third proportional to 232,977.94 and 475,750.13 is: 971,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,977.94 : 475,750.13 = 475,750.13 : x
  2. Step 2: Convert to fraction form
    232,977.94/475,750.13 = 475,750.13/x
  3. Step 3: Cross multiply
    232,977.94x = 475,750.13 × 475,750.13
  4. Step 4: Simplify right side
    232,977.94x = 226,338,181,437.52
  5. Step 5: Solve for x
    x = 226,338,181,437.52/232,977.94
  6. Step 6: Final answer
    x = 971,500.49

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.